21906704642304 has 72 divisors (see below), whose sum is σ = 58305854007072. Its totient is φ = 7301975326720.

The previous prime is 21906704642299. The next prime is 21906704642309. The reversal of 21906704642304 is 40324640760912.

It is an interprime number because it is at equal distance from previous prime (21906704642299) and next prime (21906704642309).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21906704642309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21749587 + ... + 22734509.

It is an arithmetic number, because the mean of its divisors is an integer number (809803527876).

Almost surely, 2^{21906704642304} is an apocalyptic number.

21906704642304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21906704642304 is an abundant number, since it is smaller than the sum of its proper divisors (36399149364768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21906704642304 is an equidigital number, since it uses as much as digits as its factorization.

21906704642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013903 (or 1013889 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 21906704642304 in words is "twenty-one trillion, nine hundred six billion, seven hundred four million, six hundred forty-two thousand, three hundred four".